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Finding the Fourth Proportional to 8,543.40, 12,815.13 and 4,157.10

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Solution

The fourth proportional to 8,543.40, 12,815.13 and 4,157.10 is: 6,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.40 : 12,815.13 = 4,157.10 : x
  2. Step 2: Convert to fraction form
    8,543.40/12,815.13 = 4,157.10/x
  3. Step 3: Cross multiply
    8,543.40x = 12,815.13 × 4,157.10
  4. Step 4: Simplify right side
    8,543.40x = 53,273,776.92
  5. Step 5: Solve for x
    x = 53,273,776.92/8,543.40
  6. Step 6: Final answer
    x = 6,235.66

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.